Prime p₀= 2124487088812678517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2124486284811326743	0 40 46 54 66 90 94 150 160 216 220 244 256 264 270 310	-804001351774
STPT(10)	2124486425708503469	0 2 18 20 30 32 42 44 60 62	-663104175048
SPT(16)	2124486445878220247	0 20 26 92 96 140 162 180 266 284 306 350 354 420 426 446	-642934458270
TPT(14)	2124486525044191109	0 2 42 44 48 50 72 74 90 92 102 104 228 230	-563768487408
SPT(16)	2124486767160239021	0 18 60 86 96 108 126 138 140 152 170 182 192 218 260 278	-321652439496
STPT(10)	2124486863442411449	0 2 42 44 60 62 78 80 120 122	-225370267068
STPT(10)	2124487601782581317	0 2 60 62 102 104 144 146 204 206	512969902800
TPT(14)	2124488143647596009	0 2 48 50 90 92 162 164 192 194 252 254 318 320	1054834917492
STPT(10)	2124488191414929677	0 2 30 32 42 44 54 56 84 86	1102602251160
SPT(16)	2124488585152620331	0 30 42 60 82 102 106 130 162 186 190 210 232 250 262 292	1496339941814
SPT(20)	2124489059334354059	0 32 44 98 158 162 204 224 228 242 270 284 288 308 350 354 414 468 480 512	1970521675542